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#25State wether each labeled point identifies a local minimum, a local maximum, or neither. Identify intervals on which the function is decreasing and increasing.

25State Wether Each Labeled Point Identifies A Local Minimum A Local Maximum Or Neither Identify Intervals On Which The Function Is Decreasing And Increasing class=

Answer :

According to the graph:

There is a local minimum at (2,2)

Local maximum at (-1,4) and (5,5)

The function is decreasing in the interval:

[tex]{}[-1,2]\text{ and \lbrack5,}\infty][/tex]

The function is increasing in the interval:

[tex][-\infty,-1]\text{ and \lbrack2,5\rbrack}[/tex]

Answer:

Local minimum: (2,2)

Local maximum: (-1,4) and (5,5)

Decreasing: [-1, 2] and [5, ∞]

Increasing: [ - ∞, - 1] and [2, 5]

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